Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
484 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 189 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #31823344 | C2 | semidirect |
| 4. #31823329 | C2 | semidirect |
| 6. C4⋊C4×Dic281 | C2 | semidirect |
| 7. #384×C281 | C2 | semidirect |
| 9. #22582836 | C4 | semidirect |
| 88. C281 | #2314 | semidirect |
| 93. #384 | D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582836 | 2 |
| #31823353 | 2 |
| #31823344 | 2 |
| #31823329 | 2 |
| #31823320 | 2 |
| C4⋊C4×Dic281 | 2 |
| #384×C281 | 2 |
| #2314 | 281 |